213084468 has 72 divisors (see below), whose sum is σ = 576386720. Its totient is φ = 66173760.

The previous prime is 213084467. The next prime is 213084497. The reversal of 213084468 is 864480312.

213084468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213084467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39171 + ... + 44277.

Almost surely, 2^213084468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213084468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288193360).

213084468 is an abundant number, since it is smaller than the sum of its proper divisors (363302252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213084468 is a wasteful number, since it uses less digits than its factorization.

213084468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 213084468 is about 14597.4130584840. The cubic root of 213084468 is about 597.2881953241.

The spelling of 213084468 in words is "two hundred thirteen million, eighty-four thousand, four hundred sixty-eight".